What is the Greatest Common Factor of 21235 and 21241?

Greatest common factor (GCF) of 21235 and 21241 is 1.

GCF(21235,21241) = 1

We will now calculate the prime factors of 21235 and 21241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21235 and 21241.

How to find the GCF of 21235 and 21241?

We will first find the prime factorization of 21235 and 21241. After we will calculate the factors of 21235 and 21241 and find the biggest common factor number .

Step-1: Prime Factorization of 21235

Prime factors of 21235 are 5, 31, 137. Prime factorization of 21235 in exponential form is:

21235 = 5¹ × 31¹ × 137¹

Step-2: Prime Factorization of 21241

Prime factors of 21241 are 11, 1931. Prime factorization of 21241 in exponential form is:

21241 = 11¹ × 1931¹

Step-3: Factors of 21235

List of positive integer factors of 21235 that divides 21235 without a remainder.

1, 5, 31, 137, 155, 685, 4247

Step-4: Factors of 21241

List of positive integer factors of 21241 that divides 21235 without a remainder.

1, 11, 1931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21235 and 21241. The biggest common factor number is the GCF number.
So the greatest common factor 21235 and 21241 is 1.

Also check out the Least Common Multiple of 21235 and 21241